If 13 is multiplied by 15 then ÷ by 2 what is my answer
Which of the following functions is represented by the graph
The function represented by the graph is (b) the reciprocal, y = 1/x
Which of the functions is represented by the graphFrom the question, we have the following parameters that can be used in our computation:
The graph
From the graph, we can see that
The function has horizontal and vertical asymptotes
Only rational functions have this property
This means that the function represented by the graph is (b) the reciprocal, y = 1/x
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7. Find the value of x for which L is parallel to M. The diagram is not to scale.
the value of x for which L is parallel to M :28 done
John cut 312 feet of tape. How much is this in inches?
3,744 inches. You would multiply 312 and 12, since there is 12 inches in a foot, to get 3,744 inches.
Hope this helped! :)
A golfball is hit from ground level with an initial vertical velocity of 64 ft/s. After how many seconds will the ball hit the ground?
a. 3 seconds
b. 4 seconds
c. 5 seconds
d. 6 seconds
The ball hits the ground at unknown time (t) when the height (h) = 0
h(t) = -16t² + vt + h ⇒ v = 64, h = 0, h(t) = 0, find t
0 = -16t² + 64t
0 = -16t(t - 4)
0 = -16t or 0 = t - 4
t = 0 or t = 4
It starts at t = 0 seconds and ends at t = 4 seconds
Answer: B
Final answer:
Using the kinematic equation for vertical motion, we find that the golf ball will hit the ground after 4 seconds. We factor the kinematic equation to solve for the time given initial velocity and gravity's acceleration, ignoring the 0 time solution. TΔherefore, the correct option is b.
Explanation:
The question asks after how many seconds a golf ball hit from ground level with an initial vertical velocity of 64 ft/s will hit the ground. This problem involves kinematic equations of motion under the influence of gravity. We can use the equation for vertical motion: distance = initial velocity × time + 0.5 × acceleration × time². Since the ball returns to ground level, the distance covered is 0. Taking downward as positive, gravity's acceleration is +32 ft/s² (the usual acceleration due to gravity in units of ft/s²). We can rearrange the equation to solve for time (t): 0 = 64t + 0.5 × 32t². Factoring out t gives us t(64 + 16t) = 0, and solving for t gives us t = 0 or t = -64/16 = -4 seconds. Since time cannot be negative in this context, the positive solution reflects the time after launch, thus the answer is 4 seconds, which is option b.
The question is: how many people averaged fewer than 4,000 steps each day? The options are
A. 7
B. 10
C. 19
D. 21
the first few bars are the people who walked fewer than 4,000, so add up the numbers on the side (2 and 5) and you get 7, so a
7 people have averaged fewer than 4,000 steps.
Option A is the correct answer.
Given,
The bar graph of the number of steps on the horizontal line and the number of people on the vertical line.
We need to find how many people averaged fewer than 4,000 steps each day.
Read the bar graph.
Steps - 0 - 1,999
= 2 people
Steps - 2,000 - 3,999
= 5 people
Steps - 4,000 - 5,999
= 12 people
Steps - 6,000 - 7,999
= 7 people
Steps - 8,000 - 9,999
= 3 people
Find the number of people who have fewer than 4,000 steps.
We have,
Steps - 0 - 1,999
= 2 people
Steps - 2,000 - 3,999
= 5 people
So,
2 + 5 = 7
= 7 people
Thus 7 people have averaged fewer than 4,000 steps.
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Consider the function f(x)=−34x+1 .
What is f(1/2)
Enter your answer, as a simplified fraction, in the box.
f(1/2)=_______
The requried simplified value of the given function at x = 1/2 is 5/8.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
Given function f(x) = -3/4x + 1
For f(1/2), put x = 1/2 in the above expression,
f(1/2) = -3/4(1/2) + 1
f(1/2) = -3/8 + 1
f(1/2) = [-3 + 1×8]/8
f(1/2) = [5]/8
f(1/2) = 5/8
Thus, the requried simplified value of the given function at x = 1/2 is 5/8.
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the point (4, -3) is on the graph of which function
A). y= 4x - 3
B). y= 1/2x - 5
C). y= 1/3x - 4
D). y= 2x + 10
Replace x and Y in the answers and see which one works:
A) 4(4) -3 = 16-3 = 13, not -3 FALSE.
B) 1/2(4) - 5 = 2-5 = -3 TRUE
The correct answer is B
Which is the least possible degree of a polynomial that has roots -5,1+4i, and -4i
The non real roots 1+4i and -4i will also have their complements as roots:- 1 - 4i and 4i
So the least number of roots = 5 and this will also be the least possible degree of the polynomial.
answer 5
Answer:
D
Step-by-step explanation:
What is the volume of the square pyramid with base edges 12cm height 10cm
V=480cm³ . 10 and 12
The equation of the line through point (- 4, 0) and parallel to the y-axis is
x = -4
y = -4
x + y = -4
Answer:
[tex]\text{The equation of line is }x=-4[/tex]
Step-by-step explanation:
Given that line is passing through the point (-4, 0) and parallel to the y-axis.
we have to find the equation of the line.
[tex]\text{As the slope of y-axis is }\infty\text{ i.e }\frac{1}{0}[/tex]
Since the slope of parallel lines are equal therefore we have to find the equation of line with slope infinity and passing through the point (-4, 0).
The equation of line pass through the point (x',y') with slope m is
[tex]y-y'=m(x-x')[/tex]
The equation of line with slope infinity and passing through the point (-4, 0) is
[tex]y-0=\frac{1}{0}(x-(-4))[/tex]
[tex]x+4=0[/tex]
[tex]x=-4[/tex]
which is required equation.
Hence, option 1 is correct.
The product of two consecutive square number is 144
Answer: Two consecutive square numbers be 16 and 9.
Step-by-step explanation:
Let first consecutive square number be x²
Let second consecutive square number be (x+1)²
According to question,
[tex]x^2\times (x+1)^2=144[/tex]
Now we'll do this by factorisation,
[tex]144=2\times2\times2\times2\times3\times3\\\\144=16\times 9[/tex]
So, two consecutive square numbers are 16 and 9
Consecutive numbers are numbers that follow one another.
The consecutive squares are: 9 and 16
Let the bigger square be x^2
So, we have:
[tex]\mathbf{(x - 1)^2 \times x^2 = 144}[/tex]
Express 144 as 12^2
[tex]\mathbf{(x - 1)^2 \times x^2 = 12^2}[/tex]
Take square roots of both sides
[tex]\mathbf{(x - 1)\times x = 12}[/tex]
Expand
[tex]\mathbf{x^2 - x = 12}[/tex]
Rewrite as:
[tex]\mathbf{x^2 - x - 12 = 0}[/tex]
Expand
[tex]\mathbf{x^2 - 4x +3x- 12 = 0}[/tex]
Factorize
[tex]\mathbf{x(x - 4) +3(x- 4) = 0}[/tex]
Factor out x - 4
[tex]\mathbf{(x +3) (x- 4) = 0}[/tex]
Solve for x
x= -3 or x = 4
x cannot be negative.
So: x = 4
Square both sides
[tex]\mathbf{x^2 = 4^2}[/tex]
[tex]\mathbf{x^2 = 16}[/tex]
Calculate the smaller square
[tex]\mathbf{(x - 1)^2 = (4-1)^2}[/tex]
[tex]\mathbf{(x - 1)^2 = 9}[/tex]
Hence, the consecutive squares are: 9 and 16
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$0.07. use the formula provided and just substitute.
Cost per gallon= Price per gallon/miles per gallon.
cost=$2.56/35
That led to 0.0731428571 and the nearest cent would be $0.07
I am a product one of my factors is 7 the sum of my factors eauals 11 what number am i
11-7=4
7*4=28
28is your answer
The line for which equation has a negative slope?
A. y = 6
B. y = -5x
C. y = 2x + 5
What is the slope of the line represented by -14y = 7x ?
A. −2
B. 1/2 negative
C. 2
The percent of working students increased 25.5% to 10.5%, what was the percent prior to the increase? (express your answer rounded correctly to the nearest tenth of a percent!)
-58.82% is the percent increase
The set of points P(0, 3), Q(2, 0), R(4, -3) are collinear and the line has a slope of _____.
If the points P, Q and R are collinear, then a slope of line PQ and a slope of line QR are equal.
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
PQ → (0, 3), (2, 0).
Substitute:
[tex]m=\dfrac{0-3}{2-0}=\dfrac{-3}{2}=-1.5[/tex]
QR → (2, 0), (4, -3).
Substitute:
[tex]m=\dfrac{-3-0}{4-2}=\dfrac{-3}{2}=-1.5[/tex]
CORRECT :)
Answer: m = -1.5.Answer:
-3/2
Step-by-step explanation:
I just did this lesson.
The line has a slope of -3/2
Rewrite the fractions 1/4 and 5/6 with a least common denominator
Answer:
1/4 = 3/12 and 1/6 = 2/12
Step-by-step explanation:
We are given two fractions with denominator 4 and 6.
To find the least common denominator, of 4 and 6.
Factorise 4 and 6.
4 = 2x2
6=2x3
Hence Least common denominator = 2x2x3 =12
Make the given fractions to equivalent fractions with common denominator 12.
1/4 = 1(3)/4(3) = 3/12 and
1/6 = 1(2)/6(2)= 2/12
Hence answer would be
3/12 and 2/12
To rewrite the fractions 1/4 and 5/6 with a least common denominator, find the least common multiple (LCM) of the denominators, which is 12. Multiply the numerators and denominators of each fraction by the appropriate factor to obtain the rewritten fractions.
Explanation:To rewrite the fractions 1/4 and 5/6 with a least common denominator, we need to find the least common multiple (LCM) of the denominators, which in this case are 4 and 6.
To find the LCM, we can list the multiples of each denominator until we find a common multiple. For 4, the multiples are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ... And for 6, the multiples are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ... The first common multiple we find is 12, so that is the least common denominator (LCD).
To rewrite 1/4 with the LCD of 12, we need to multiply both the numerator and the denominator by 3: (1 * 3) / (4 * 3) = 3/12.
To rewrite 5/6 with the LCD of 12, we need to multiply both the numerator and the denominator by 2: (5 * 2) / (6 * 2) = 10/12.
If a store advertised a sale that gave a customer a 1/4 discount,what is the fraction part of the original price that the customer pay?
Wilson is a plumber, and his coworker Jonathan is an electrician. Wilson charges customers a fee of $126 just to come to their houses and then $3 per minute that he is there. Jonathan also charges a fee of $151 for a home visit, plus an additional $2 per minute. Last week the coworkers went to a job site together, spent the same amount of time working, and earned the same amount. How much time did each one spend working? How much did each one earn?
Let's have time in minutes as x.
Now we will make the next equation
3x+126 = 2x+151 First we will add number (-126) to the both sides and get
3x+126-126=2x+151-126 => 3x= 2x + 25
3x=2x+25 Now we will add monom (-2x) to the both sides and get
3x-2x=2x-2x+25 => x=25 minutes
They spent the same time 25 minutes and earned the same amount of money
Wilson earned 3*25+126= 75+126= $201
Jonathan earned 2*25+151=50+151= $201
Good luck!!!
Mercury orbits the sun on 87 24/25. Write this number mixed number as a decimal.
the answer is 87.96 your gonna have to trust me I don't have enough time to explain right now.
A 16 foot board is to be cut up into lengths 3 1/4 feet long. How many boards can be cut?
16/13/4=
64/13
4and12/13
From a 16 foot board, 4 full pieces each 3 1/4 feet long can be cut. Moreover, 16.0 inches, a common spacing for vertical studs, is equivalent to 40.64 centimeters.
To determine how many lengths of 3 1/4 feet can be cut from a 16 foot board, we need to divide the total length of the board by the length of each desired piece. First, we convert the mixed number 3 1/4 to an improper fraction, 13/4. Then, we perform the division: 16 feet divided by 13/4 feet.
This calculation can be set up as follows:
(16 feet) \/ (13/4 feet) = (16 feet) × (4/13) = (64/13) feet = 4 remainder 12/13
Therefore, you can cut 4 full pieces that are 3 1/4 feet long from a 16 foot board, with a remainder of 12/13 of a foot.
If we want to convert the placement of vertical studs, which are typically 16 inches apart, to centimeters, we use the conversion factor that 1 inch equals 2.54 centimeters. 16.0 inches multiplied by 2.54 equals 40.64 centimeters.
mattttttttttttthhhhhhhhhhhhh , i need help
Find the equation of a line that passes through the point (−2,5), and is parallel to the line y=−3x+4.
A.y=−3x−10
B.y=−3x−1
C.y=−3x−3
D.y=−3x
E.y=−3x+1
Answer:
B.y=−3x−1
Step-by-step explanation:
given that the line is parallel to y = -3x+4
Hence required line will be of the form
y =-3x+k for some k.
(Reason: slopes will be equal for parallel lines)
Since the line passes through (-2,5)
Substitute x =-2 and y =5 in the equation.
5=-3(-2)+k
Simplify
5 = 6+k
Subtract 6
Or k =-1
Hence required line has equation y =-3x-1
AB = 44 + 3x BC = 33 + x CD = 64 − x AD = 48 − 2x Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Prove that quadrilateral ABCD is a parallelogram by finding the lengths (in centimeters) of the opposite side pairs?
Given : AB = 44 + 3x
BC = 33 + x
CD = 64 − x
AD = 48 − 2x.
Opposite sides are AB and CD.
BC and AD.
Setting AB equals CD
We get
44 + 3x = 64 − x
Adding x on both sides, we get
44 + 3x+x = 64 − x+x
44 +4x = 64.
Subtracting 44 from both sides, we get
44-44 +4x = 64 - 44.
4x =20
Dividing both sides by 4, we get
x= 5.
Let us plug x=5 to find the length of each side, we get
AB = 44 + 3x = 44 +3(5) = 44 + 15 = 59 cm
BC = 33 + x = 33 + 5 = 38 cm
CD = 64 − x = 64 - 5 = 59 cm
AD = 48 − 2x = 48 - 2(5) = 48 - 10 = 38 cm.
We can see that AB = CD = 59 cm and BC = AD = 38 cm.Therefore, quadrilateral ABCD is a parallelogram.
Leila is paid $290 per week by Famous Footwear, plus 3% on all sales over $500. During one week, her total sales were $960. Find her gross earnings.
$303.80
$13.80
$968.70
$318.80
Leila's gross earnings are calculated by adding her base pay of $290 to her commission of $13.80, which is 3% of her sales over $500. For the week, her total gross earnings are $303.80.
The question involves calculating Leila's gross earnings for a week where she sold $960 worth of merchandise while working at Famous Footwear. To find her earnings, we need to calculate her base pay plus the commission on sales over $500.
Leila's base pay is $290 per week. Since she sold $960, the amount over $500 that is eligible for commission is $960 - $500 = $460. Her commission is 3% of this amount, which is 0.03 * $460 = $13.80.
Therefore, Leila's total gross earnings for the week are her base pay plus her commission: $290 + $13.80 = $303.80.
please help me on this math question
Answer:
$5.99
Step-by-step explanation:
Purchase amounts are rounded to the penny.
(3/4 lb)×$7.99/lb = $5.9925 ≈ $5.99
Question 9
Solve the following system of equations using matrices.
y = 2x – 1
6x – y = 13
(3, 5)
(-3, 5)
(5, 0)
we are given two system of equations
First equation is
[tex]y=2x-1[/tex]
we can write as
[tex]-2x+y=-1[/tex]
Second equation is
[tex]6x-y=13[/tex]
now, we can find augmented matrix
[tex]A=\begin{pmatrix}-2&1&-1\\ 6&-1&13\end{pmatrix}[/tex]
now, we can change it into reduced row echelon form
step-1: multiply the 1st row by -1/2
[tex]A=\begin{pmatrix}-1&-1/2&1/2\\ 6&-1&13\end{pmatrix}[/tex]
step-2: add -6 times the 1st row to the 2nd row
[tex]A=\begin{pmatrix}-1&-1/2&1/2\\ 0&2&10\end{pmatrix}[/tex]
step-3:multiply the 2nd row by 1/2
[tex]A=\begin{pmatrix}-1&-1/2&1/2\\ 0&1&5\end{pmatrix}[/tex]
step-4:add 1/2 times the 2nd row to the 1st row
[tex]A=\begin{pmatrix}1&0&3\\ 0&1&5\end{pmatrix}[/tex]
so, we will get
[tex]x=3,y=5[/tex]
Answer is (3,5)
A company did a quality check on all the packs of nuts it manufactured. Each pack of nuts is targeted to weigh 18.25 oz. A pack must weigh within 0.36 oz of the target weight to be accepted. Find the absolute value inequality that describes the situation and solve it to find the range of rejected masses, x. |x − 18.25| > 0.36; x < 17.89 or x > 18.61 |x − 0.36| + 18.25 > 0; x < 17.89 or x > 18.61 |x − 18.25| > 0.36; x < 18.25 or x > 18.61 |x − 0.36| + 18.25 > 0; x < 18.25 or x > 18.61
Answer: the first choice, |x − 18.25| > 0.36; x < 17.89 or x > 18.61
Explanation:
1. Target weight: 18.25 oz
2. Variability accepted: 0.36 oz
3. Range of accepted masses: 18.25 oz - 0.36 oz ≤ x ≤ 18.25 oz + 0.36 oz
4. Addition property of the inequalities (subtract 18.25 oz to the three parts of the inequality):
- 0.36 oz ≤ x - 18.25 oz ≤ 0.36 oz
5. Definition of absolute value inequality: | x - a | ≤ c equals - c ≤ x - a ≤ c
∴ - 0.36 ≤ x - 18.25 ≤ 0.36 equals | x - 18.25 | ≤ 0.36, which is the range of accepted masses.
6. The range of rejected masses is the complement, so it is:
|x - 18.25 | > 0.36
7. Solve the inequality to find the range of rejected masses:
a) x - 18.25 > 0.36 ⇒ x > 18.25 + 0.36 ⇒ x > 18.61
b) x - 18.25 < 0.36 ⇒ x < 18.25 - 0.36 ⇒ x < 17.89
True or false : if an individual or business breaks a contract, it automatically goes to court.
Answer:
It's false, only if the situation gets worse.
Step-by-step explanation:
On the off chance that a debate over a contract emerges and casual endeavors at determination fall flat, the foremost common next step may be a claim. On the off chance that the sum at issue is underneath a certain dollar figure (ordinarily $3,000 to $7,500 depending on the state), the parties may be able to resolve the issue in small claims court.
Please correct any mistakes in my answer :) Glad to help ya!
Health department lab officials detected 120,000 bacteria on a dessert plate that has a diameter of 6 inches. What's the approximate population density of the bacteria on the dish?
A. 1,062 bacteria/square inch
B. 1,111 bacteria/square inch
C. 12,739 bacteria/square inch
D. 4,246 bacteria/square inch
Answer:
The correct answer is option D, the approximate population density of the bacteria in the dish is 4,246 bacteria / square inch
Step-by-step explanation:
They give us the diameter of the plate, then the first step is to calculate their area.
The area of a circle according to the diameter is:
[tex]A = \frac{\pi}{4}(d) ^ 2[/tex]
Where d is the diameter.
So:
[tex]A = \frac{\pi}{4}36\\ A = 9\pi\\ A = 28.274.inches ^ 2[/tex]
Now, to find the number of bacteria in per square inch, we divide [tex]\frac{120000}{28.274} = 4244.132.[/tex]
So, the correct answer is option D, the approximate population density of the bacteria in the dish is 4,246 bacteria / square inch